100312002221133 has 16 divisors (see below), whose sum is σ = 133820310456000. Its totient is φ = 66839190330240.

The previous prime is 100312002221089. The next prime is 100312002221159. The reversal of 100312002221133 is 331122200213001.

It is not a de Polignac number, because 100312002221133 - 2²⁰ = 100312001172557 is a prime.

It is a super-2 number, since 2×100312002221133² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100312002221533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42305473 + ... + 44613641.

It is an arithmetic number, because the mean of its divisors is an integer number (8363769403500).

Almost surely, 2^{100312002221133} is an apocalyptic number.

It is an amenable number.

100312002221133 is a deficient number, since it is larger than the sum of its proper divisors (33508308234867).

100312002221133 is a wasteful number, since it uses less digits than its factorization.

100312002221133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315852.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 100312002221133 its reverse (331122200213001), we get a palindrome (431434202434134).

The spelling of 100312002221133 in words is "one hundred trillion, three hundred twelve billion, two million, two hundred twenty-one thousand, one hundred thirty-three".